论文标题
在特殊类型的Ma-Minda功能上
On A Special Type Of Ma-Minda Function
论文作者
论文摘要
本文介绍了此处介绍的一种特殊类型的Ma-Minda功能,并提供了许多有趣的事实和有趣的应用。它在各个方面都非常类似,但与Ma-Minda对应的条件有所不同。此外,我们考虑了此功能:〜$ 1- \ log(1+z)$,此处引入的类型的特殊ma-minda,以与我们使用Ma-Minda功能相似的方式定义了类似Starlike功能的子类,并研究了用于建立覆合和半径和半径结果的研究。除此之外,我们还处理了同一类的主要和BLOCH功能规范问题。此外,我们获得了第四个系数的边界:〜$ a_4 $和第二hankel的决定因素:〜$ h_2(2)$用于使用卷积新定义的类的功能,该功能概述了许多早期已知的结果及其与特殊类型的Ma-minda功能的关联。
This paper deals with a special type of Ma-Minda function introduced here with many fascinating facts and interesting applications. It is much akin in all aspects but differs by a condition from its Ma-Minda counterpart. Further, we consider the function:~$1-\log(1+z)$, a special Ma-Minda of the type introduced here, to define a subclass of starlike functions in a similar fashion as we do with Ma-Minda function and is studied for establishing inclusion and radius results. Apart from that, we also deal with the majorization and Bloch function norm problems for the same class. In addition, we obtain the bounds of fourth coefficient:~$a_4$ and second Hankel determinant:~$H_2(2)$ for the functions belonging to a newly defined class using convolution, which generalizes many earlier known results and its association with the special type of Ma-Minda function is also pointed out.